Fusion Potentials for G_k and Handle Squashing

Details Fusion Potentials for G_k and Handle Squashing Fusion Potentials for G_k and Handle Squashing

1991-10-22

arxiv.org/abs/hep-th/9110063v1

Nucl.Phys. B393 (1993) 361-376

Physics

High Energy Physics

High Energy Physics - Theory

(24 pages)

Scientific paper

10.1016/0550-3213(93)90249-O

Using Chern-Simons gauge theory, we show that the fusion ring of the conformal field theory G_k is isomorphic to P(u)/(\del V), where V is a polynomial in u and (\del V) is the ideal generated by the conditions \del V=0. We also derive a residue-like formula for the correlation functions in the Chern-Simons theory thus providing a RCFT version of the residue formula for the TLG models. An operator that acts like the measure in the residue formula has the ionterpretation of a handle squashing operator and an explicit formula for this operator is given.

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